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Combinatorial Aspects of Leaf-Labelled Trees
(University of Canterbury. Mathematics and Statistics, 2008)
Leaf-labelled trees are used commonly in computational biology and in other disciplines, to depict the ancestral relationships and present-day similarities between both extant and extinct species. Studying these trees from ...
Evolution of Tandemly Repeated Sequences
(University of Canterbury. Mathematics & Statistics, 2009)
Despite being found in all presently sequenced genomes, the evolution of tandemly repeated sequences has only just begun to be understood. We can represent the duplication history of tandemly repeated sequences with ...
Combinatorial and probabilistic methods in biodiversity theory
(University of Canterbury. Mathematics and Statistics, 2010)
Phylogenetic diversity (PD) is a measure of species biodiversity quantified by how much of an evolutionary tree is spanned by a subset of species. In this thesis, we study optimization problems that aim to find species ...